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Finding the Fourth Proportional to 956.18, 1,430.31 and 897.86

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Solution

The fourth proportional to 956.18, 1,430.31 and 897.86 is: 1,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.18 : 1,430.31 = 897.86 : x
  2. Step 2: Convert to fraction form
    956.18/1,430.31 = 897.86/x
  3. Step 3: Cross multiply
    956.18x = 1,430.31 × 897.86
  4. Step 4: Simplify right side
    956.18x = 1,284,218.14
  5. Step 5: Solve for x
    x = 1,284,218.14/956.18
  6. Step 6: Final answer
    x = 1,343.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.